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An effective field theory is a systematic approximation for an underlying quantum field theory or a statistical model that includes the appropriate degrees of freedom of phenomena occurring at a chosen length scale (or energy scale), while ignoring substructure and degrees of freedom at shorter distances (or higher energies), summarizing those in its parameters.

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How to fuse quantum mechanics and general relativity?

This doesn't answer your question, but it might lead you to a simple answer. It is a quote from the wiki page "Quantum Gravity". At low energies, the logic of the renormalization group tells us that, …
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